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Finding the Fourth Proportional to 747.82, 1,032.05 and 453.08

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Solution

The fourth proportional to 747.82, 1,032.05 and 453.08 is: 625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.82 : 1,032.05 = 453.08 : x
  2. Step 2: Convert to fraction form
    747.82/1,032.05 = 453.08/x
  3. Step 3: Cross multiply
    747.82x = 1,032.05 × 453.08
  4. Step 4: Simplify right side
    747.82x = 467,604.93
  5. Step 5: Solve for x
    x = 467,604.93/747.82
  6. Step 6: Final answer
    x = 625.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.